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Finding the Fourth Proportional to 2,220.66, 3,330.97 and 815.14

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Solution

The fourth proportional to 2,220.66, 3,330.97 and 815.14 is: 1,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.66 : 3,330.97 = 815.14 : x
  2. Step 2: Convert to fraction form
    2,220.66/3,330.97 = 815.14/x
  3. Step 3: Cross multiply
    2,220.66x = 3,330.97 × 815.14
  4. Step 4: Simplify right side
    2,220.66x = 2,715,196.52
  5. Step 5: Solve for x
    x = 2,715,196.52/2,220.66
  6. Step 6: Final answer
    x = 1,222.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.